4005054305663 has 16 divisors (see below), whose sum is σ = 4300392297600. Its totient is φ = 3718337594400.

The previous prime is 4005054305657. The next prime is 4005054305687. The reversal of 4005054305663 is 3665034505004.

4005054305663 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4005054305663 - 2⁶ = 4005054305599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4005054305663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005054304663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450013 + ... + 3180038.

It is an arithmetic number, because the mean of its divisors is an integer number (268774518600).

Almost surely, 2^{4005054305663} is an apocalyptic number.

4005054305663 is a deficient number, since it is larger than the sum of its proper divisors (295337991937).

4005054305663 is a wasteful number, since it uses less digits than its factorization.

4005054305663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630982.

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 4005054305663 in words is "four trillion, five billion, fifty-four million, three hundred five thousand, six hundred sixty-three".